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Finding the Third Proportional to 102,631.88 and 163,433.75

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Solution

The third proportional to 102,631.88 and 163,433.75 is: 260,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,631.88 : 163,433.75 = 163,433.75 : x
  2. Step 2: Convert to fraction form
    102,631.88/163,433.75 = 163,433.75/x
  3. Step 3: Cross multiply
    102,631.88x = 163,433.75 × 163,433.75
  4. Step 4: Simplify right side
    102,631.88x = 26,710,590,639.06
  5. Step 5: Solve for x
    x = 26,710,590,639.06/102,631.88
  6. Step 6: Final answer
    x = 260,256.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.